Respuesta :
The perimeter of the new rectangular piece of glass is 80m.
What is the perimeter of a rectangle?
- The sum of all sides of a rectangle is the perimeter of the rectangle.
- A rectangle has two equal lengths and two equal widths.
- Therefore, the perimeter 'P' of a rectangle is the sum of two equal lengths and two equal widths.
- That is, 'P=2l+2w' where 'l' is the length and 'w' is the width of the rectangle.
Here, a rectangular piece of glass has a perimeter of 20 meters.
As we know the perimeter P of a rectangle is given by the formula,
P = 2l+2w...(1)
Therefore,
20 = 2l + 2w
20 = 2(l + w)
20/2 = l + w
10 = l + w ....(2)
Now, both the length and width of the rectangle are multiplied by 4,
That is,
The new length of the rectangle is, l = 4l
The new width of the rectangle is, w = 4w
Therefore by substituting this in the equation(1) we get,
P = 2(4l) + 2(4w)
P = 8l + 8w
P = 8(l+w)....(3)
Substitute equation (2) in (3),
That is,
P = 8*10
P = 80m
Learn more about the perimeter of a rectangle at brainly.com/question/19819849
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